972590440 has 24 divisors (see below), whose sum is σ = 2188772370. Its totient is φ = 388957280.

The previous prime is 972590393. The next prime is 972590441. The reversal of 972590440 is 44095279.

It can be written as a sum of positive squares in only one way, i.e., 875331396 + 97259044 = 29586^2 + 9862^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 972590393 and 972590402.

It is not an unprimeable number, because it can be changed into a prime (972590441) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194775 + ... + 199705.

Almost surely, 2^972590440 is an apocalyptic number.

It is an amenable number.

972590440 is an abundant number, since it is smaller than the sum of its proper divisors (1216181930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

972590440 is an frugal number, since it uses more digits than its factorization.

972590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 972590440 is about 31186.3822845806. The cubic root of 972590440 is about 990.7787091642.

Multiplying 972590440 by its sum of digits (40), we get a square (38903617600 = 197240²).

972590440 divided by its sum of digits (40) gives a square (24314761 = 4931²).

The spelling of 972590440 in words is "nine hundred seventy-two million, five hundred ninety thousand, four hundred forty".